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Proof step 1108 from proof refine-truncate (previous step)

boolvar ↔ boolvar2, fs[ri[inodekey(m)]] = inodenode(key, md0, false, m1, 0, m4), buf-opt = buf-opt0, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), inode = mkinode(m, md, false, m1, 0, m2), pageno = 0, pageno0 = 0, pageno1 = m2 / VFS_PAGE_SIZE, orphans(fs, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs, m2 ≤ n, asynced → boolvar0, ∀ adr, adr0. adr ∈ fs ∨ adr0 ∈ fs ∨ adr = adr0 ⊦ ⟨fail#(; ; err); asynced := ?⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar4) ∧ buf-opt0 = buf-opt ∧ mkinode(m, md, false, m1, 0, m2) = inode ∧ (boolvar2 ↔ boolvar) ∧ ENOSPC = err), ⟨let ino = inode.ino, content = files[inode.ino].content, buf = ? in {pageno0 := inode.size % VFS_PAGE_SIZE, pageno := min(n, inode.size); boolvar := inode.size ≤ n ∧ pageno0 ≠ 0 ∧ (pageno1 ∈ content ∨ buf-opt.some?); if boolvar then {if buf-opt.some? then buf := buf-opt.buf else buf := files[ino].content[pageno1]; buf := fill(buf, zero, pageno0, VFS_PAGE_SIZE - pageno0); content[pageno1] := buf; buf-opt := some(buf)}; files[ino].content := content upto pageno; let new_inode = inode in {new_inode.size := n; afs_inode_sync#(new_inode; dirs, files)}; inode := getinode(inode.ino, dirs, files); err := ESUCCESS}; asynced := ?⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar4) ∧ buf-opt0 = buf-opt ∧ mkinode(m, md, false, m1, 0, m2) = inode ∧ (boolvar2 ↔ boolvar) ∧ ENOSPC = err), m2 % VFS_PAGE_SIZE = 0, VFS_PAGE_SIZE = 0, buf-opt0.some?, datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1109:
fs[ri[inodekey(m)]] = inodenode(key, md0, false, m1, 0, m4), m2 % VFS_PAGE_SIZE ≠ 0, fo.inodes?, orphans(fs, ri).inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), ri[inodekey(m)] ∈ fs, inodekey(m) ∈ ri, m2 ≤ n, ¬ buf-opt0.some?, ¬ datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri, asynced → boolvar0, ∀ adr, adr0. adr ∈ fs ∨ adr0 ∈ fs ∨ adr = adr0 ⊦ ⟨fail#(; ; err); asynced := ?⟩ ((asynced → boolvar4) ∧ ENOSPC = err), ⟨let ino = m, content = abs-files(fs, ri)[m].content, buf = ? in {pageno0 := m2 % VFS_PAGE_SIZE, pageno := min(n, m2); boolvar := m2 ≤ n ∧ pageno0 ≠ 0 ∧ (m2 / VFS_PAGE_SIZE ∈ content ∨ buf-opt0.some?); files := abs-files(fs, ri); buf-opt := buf-opt0; if boolvar then {pageno1 := m2 / VFS_PAGE_SIZE; if buf-opt.some? then buf := buf-opt.buf else buf := files[ino].content[pageno1]; buf := fill(buf, zero, pageno0, VFS_PAGE_SIZE - pageno0); content[pageno1] := buf; buf-opt := some(buf)}; files[ino].content := content upto pageno; let new_inode = mkinode(m, md, false, m1, 0, m2) in {new_inode.size := n; dirs := abs-dirs(fs, ri); afs_inode_sync#(new_inode; dirs, files)}; inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); err := ESUCCESS}; asynced := ?⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar4) ∧ buf-opt0 = buf-opt ∧ mkinode(m, md, false, m1, 0, m2) = inode ∧ (boolvar2 ↔ boolvar) ∧ ENOSPC = err)

Rule argument

Additional information

Used simplifier rules: ⊦ getinode(ino, dirs, files) = (ino ∈ dirs ⊃ mkinode (ino, dirs[ino].meta, true, dirs[ino].nlink, dirs[ino].nsubdirs, dirs[ino].size) ;mkinode (ino, files[ino].meta, false, files[ino].nlink, 0, files[ino].size) ); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)